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vera_ewing
 one year ago
Compare the functions
vera_ewing
 one year ago
Compare the functions

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vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0g(x) right? @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.1let's play with it together

freckles
 one year ago
Best ResponseYou've already chosen the best response.1do you know the range of sin(x) is 1 to 1 ?

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0Well I'm thinking 2 spots on the number line from 1 to 1. lol

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so one of the following will give the min to f 3(1)+2 3(1)+2 so what is the min of f? notice the parabola h is in vertex form h=(xh)^2+k where (h,k) is vertex k gives the min value of the function

freckles
 one year ago
Best ResponseYou've already chosen the best response.1and given that what is also the min of h?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1sorry I should have recalled the xcoordinate of the vertex something else

freckles
 one year ago
Best ResponseYou've already chosen the best response.1h=(xc)^2+k where (c,k) is vertex k gives the min value of this function

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0Ohh wait I totally read the question wrong! It asks for minimum, not maximum!

freckles
 one year ago
Best ResponseYou've already chosen the best response.1yep we want the smallest possible y per function

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0So f(x) is the greatest! Thank you :)

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0Wait no...hold on I'm redoing it.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you didn't answer my question of the two numbers I mentioned above for f can you tell me the smallest y value

freckles
 one year ago
Best ResponseYou've already chosen the best response.1really big hint: \[1 \le \sin(x \pi) \le 1 \\ \text{ multiply both sides by 3 } \\ 3 \ge 3\sin(x\pi) \ge 3 \\ \\ \text{ add 2 on both sides } 3+2 \ge 3\sin(x\pi)+2 \ge 3+2 \]

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0Oh they're all the same? So it's D?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1yes 3+2 is the min of f and 1 is the min of g and 1 is also the min of h

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh okay! Thank you so much! :)
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